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NISM Certifications · NISM-Series-V-A: Mutual Fund Distributors · Investment Landscape

An investor's portfolio of Rs 2,00,000 earns 12% in year one and loses 10% in year two. What is the portfolio value at the end of year two?

The portfolio is worth Rs 2,01,600. After a 12% gain it becomes Rs 2,24,000, and a 10% fall on that larger base removes Rs 22,400. Simply netting the percentages to a 2% gain would overstate the value, because returns compound multiplicatively.

  1. ARs 2,00,000
  2. BRs 2,04,000
  3. CRs 2,01,600Correct
  4. DRs 2,06,400

Explanation

Year one: 2,00,000 x 1.12 = 2,24,000. Year two: 2,24,000 x 0.90 = 2,01,600. Adding the returns (12% - 10% = 2%) would wrongly give Rs 2,04,000. The geometric chaining shows the loss applies to a larger base.

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